GCD of 105, 202, 576, 432 Calculator

Given Input numbers are 105, 202, 576, 432

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Greatest Common Divisior

We found the divisors of 105, 202, 576, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 202, 576, 432 is 1.

Therefore, GCD of numbers 105, 202, 576, 432 is 1

Given Input Data is 105, 202, 576, 432

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 202 is 2 x 101

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(105, 202) = 21210

GCD(105, 202) = ( 105 x 202 ) / 21210

GCD(105, 202) = 21210 / 21210

GCD(105, 202) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 576

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

GCD(1, 576) = 576 / 576

GCD(1, 576) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 432

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

GCD(1, 432) = 432 / 432

GCD(1, 432) = 1

GCD of 105, 202, 576, 432 is 1

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1. What is the GCD of 105, 202, 576, 432?

GCD of 105, 202, 576, 432 is 1

2. Where do I get the detailed procedure to find GCD of 105, 202, 576, 432?

You can find a detailed procedure to find GCD of 105, 202, 576, 432 on our page.

3. How to find GCD of 105, 202, 576, 432 on a calculator?

You can find the GCD of 105, 202, 576, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.